Dielectric response of electron-hole systems. Nondegenerate case and quantum corrections
Dirk Semkat, Heinrich Stolz, Wolf-Dietrich Kraeft, Holger Fehske

TL;DR
This paper derives analytical expressions for the dielectric function in low-dimensional semiconductors within the RPA framework, incorporating quantum corrections and exploring systems with Dirac-like dispersion.
Contribution
It provides new analytical results for dielectric responses in various dimensions, including quantum corrections and Dirac-cone physics, in the weakly-degenerate limit.
Findings
Analytical dielectric functions for 1D, 2D, and 3D semiconductors.
Quantum corrections to dielectric response in the weakly-degenerate regime.
Insights into Dirac-cone systems with linear dispersion.
Abstract
Analytical results for the dielectric function in RPA are derived for three-, two-, and one-dimensional semiconductors in the weakly-degenerate limit. Based on this limit, quantum corrections are derived. Further attention is devoted to systems with linear carrier dispersion and the resulting Dirac-cone physics.
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